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A cake pan is in the shape of a right rectangular prism 20 centimeters (cm) long by 20cm wide by 5cm high. The pan contains 1,000 cubic centimeters (cm^(3)) of batter. Approximately how far is the cake batter from the top of the pan? Choose 1 answer: (A) 1cm (B) 2.5cm (c) 5cm (D) 7cm

A cake pan is in the shape of a right rectangular prism 2020 centimeters (cm) long by 20 cm 20 \mathrm{~cm} wide by 5 cm 5 \mathrm{~cm} high. The pan contains 11,000000 cubic centimeters (cm3) \left(\mathrm{cm}^{3}\right) of batter.\newlineApproximately how far is the cake batter from the top of the pan?\newlineChoose 11 answer:\newline(A) 1 cm 1 \mathrm{~cm} \newline(B) 2.5 cm 2.5 \mathrm{~cm} \newline(C) 5 cm 5 \mathrm{~cm} \newline(D) 7 cm 7 \mathrm{~cm}

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Q. A cake pan is in the shape of a right rectangular prism 2020 centimeters (cm) long by 20 cm 20 \mathrm{~cm} wide by 5 cm 5 \mathrm{~cm} high. The pan contains 11,000000 cubic centimeters (cm3) \left(\mathrm{cm}^{3}\right) of batter.\newlineApproximately how far is the cake batter from the top of the pan?\newlineChoose 11 answer:\newline(A) 1 cm 1 \mathrm{~cm} \newline(B) 2.5 cm 2.5 \mathrm{~cm} \newline(C) 5 cm 5 \mathrm{~cm} \newline(D) 7 cm 7 \mathrm{~cm}
  1. Calculate Pan Volume: Calculate the volume of the cake pan.\newlineVolume of the pan = Length×Width×Height\text{Length} \times \text{Width} \times \text{Height}\newlineVolume of the pan = 20 cm×20 cm×5 cm20 \, \text{cm} \times 20 \, \text{cm} \times 5 \, \text{cm}\newlineVolume of the pan = 20002000 cubic centimeters
  2. Determine Batter Volume: Determine the volume of the cake batter already in the pan. Volume of the batter = 10001000 cubic centimeters
  3. Calculate Remaining Volume: Calculate the remaining volume in the pan that is not occupied by the batter.\newlineRemaining volume = Volume of the pan - Volume of the batter\newlineRemaining volume = 20002000 cubic centimeters - 10001000 cubic centimeters\newlineRemaining volume = 10001000 cubic centimeters
  4. Calculate Height: Calculate the height that corresponds to the remaining volume of the pan.\newlineSince the base area Length×WidthLength \times Width of the pan is constant, the height of the remaining volume can be found by dividing the remaining volume by the base area.\newlineHeight of remaining volume = Remaining volumeLength×Width\frac{\text{Remaining volume}}{\text{Length} \times \text{Width}}\newlineHeight of remaining volume = 1000 cubic centimeters20 cm×20 cm\frac{1000 \text{ cubic centimeters}}{20 \text{ cm} \times 20 \text{ cm}}\newlineHeight of remaining volume = 1000 cubic centimeters400 square centimeters\frac{1000 \text{ cubic centimeters}}{400 \text{ square centimeters}}\newlineHeight of remaining volume = 2.5 centimeters2.5 \text{ centimeters}

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